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Finding the Third Proportional to 58,262 and 124,149

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Solution

The third proportional to 58,262 and 124,149 is: 264,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,262 : 124,149 = 124,149 : x
  2. Step 2: Convert to fraction form
    58,262/124,149 = 124,149/x
  3. Step 3: Cross multiply
    58,262x = 124,149 × 124,149
  4. Step 4: Simplify right side
    58,262x = 15,412,974,201
  5. Step 5: Solve for x
    x = 15,412,974,201/58,262
  6. Step 6: Final answer
    x = 264,545.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.